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4023106632 = 2332415923099
BaseRepresentation
bin1110111111001011…
…1011110001001000
3101101101011222210100
43233302323301020
531214403403012
61503113045400
7201460561566
oct35762736110
911341158710
104023106632
111784a36616
129433b6860
134c1651b8c
142a244aa36
151882db8dc
hexefcbbc48

4023106632 has 96 divisors (see below), whose sum is σ = 11351340000. Its totient is φ = 1286096640.

The previous prime is 4023106609. The next prime is 4023106649. The reversal of 4023106632 is 2366013204.

4023106632 is a `hidden beast` number, since 4 + 0 + 23 + 1 + 0 + 6 + 632 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4023106596 and 4023106605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162619 + ... + 185717.

It is an arithmetic number, because the mean of its divisors is an integer number (118243125).

Almost surely, 24023106632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4023106632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5675670000).

4023106632 is an abundant number, since it is smaller than the sum of its proper divisors (7328233368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4023106632 is a wasteful number, since it uses less digits than its factorization.

4023106632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23211 (or 23204 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 4023106632 is about 63427.9641167837. The cubic root of 4023106632 is about 1590.4518094220.

Adding to 4023106632 its reverse (2366013204), we get a palindrome (6389119836).

The spelling of 4023106632 in words is "four billion, twenty-three million, one hundred six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 59 72 82 118 123 164 177 236 246 328 354 369 472 492 531 708 738 984 1062 1416 1476 2124 2419 2952 4248 4838 7257 9676 14514 19352 21771 23099 29028 43542 46198 58056 69297 87084 92396 138594 174168 184792 207891 277188 415782 554376 831564 947059 1362841 1663128 1894118 2725682 2841177 3788236 4088523 5451364 5682354 7576472 8177046 8523531 10902728 11364708 12265569 16354092 17047062 22729416 24531138 32708184 34094124 49062276 55876481 68188248 98124552 111752962 167629443 223505924 335258886 447011848 502888329 670517772 1005776658 1341035544 2011553316 4023106632